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Efficient Legendre moment computation for grey level images
2006
Pattern Recognition
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We propose here a new fast method for computing the Legendre moments, which is not only suitable for binary images but also for grey levels. ...
The method is then extended to the calculation of the two-dimensional Legendre moments Lpq. We show that the proposed method is more efficient than the direct method. ...
13 (3) It does not require so many multiplications that as the direct method, leading thus to a better efficiency in terms of computational time. (4) The algorithm can be implemented in parallel. ...
doi:10.1016/j.patcog.2005.08.008
fatcat:l5xsq352rrbh5jzjzv4m22leqa
Moment-based approaches in imaging part 3: computational considerations [A Look at...]
2008
IEEE Engineering in Medicine and Biology Magazine
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The problem of accurate computation of moments should thus be addressed. These two aspects are examined in this third paper. ...
This issue is also of concern for moments in particular when high orders have to be computed. Special attention must therefore be paid to fast computation. ...
Because the problem of fast computation of the geometric moments has been extensively investigated, one way for efficiently computing other kinds of moments such as Legendre and Zernike moments is to express ...
doi:10.1109/memb.2008.918690
pmid:18519189
pmcid:PMC2527213
fatcat:6tkun5m3ybeo7ibyctyoua5kzm
Robust Template Matching Using Orthogonal Legendre Moment Invariants
2010
Journal of Computer Science
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Conclusion: Template matching by using exact Legendre moment invariants is very efficient where the high accuracy ensure the matching process and avoids any mismatching. ...
Results: Experimental results showed that template matching by using exact Legendre moment invariants achieve higher degree of robustness. ...
The set of 2D central Legendre moments of the order-(p+q) could be computed in a very fast way by employing successive computation of the 1D q-th order moment for each row. ...
doi:10.3844/jcssp.2010.1083.1087
fatcat:fv4ozeqk7fgjxfm4s6jc4of5am
Image representation based on fractional order Legendre and Laguerre orthogonal moments
2021
International Journal of Advanced and Applied Sciences
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We have generated a novel set of Fractional order Legendre orthogonal Moments (FLeMs) from fractional order Legendre orthogonal functions and a new set of Fractional order Laguerre orthogonal Moments ( ...
The computational time of the proposed techniques is compared with the computational time of Chebyshev orthogonal Moments techniques and gives better results. ...
Fractional order Legendre orthogonal Moments (FLeMs) For any two dimensions image ( , ) ∈ 2 ([0,1] × [0, 1]) the continuously Legendre moment of order (n+m) can be defined as in the following formula: ...
doi:10.21833/ijaas.2021.02.007
fatcat:atvqm5mgkvczdgmtdml5565ifa
An Efficient Method for Computation of Legendre Moments
2000
Graphical Models
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In this paper, an efficient algorithm for computing 2D and 3D Legendre moments is presented. ...
Finally, an efficient method for computing 3D Legendre moments is developed. ...
Then the existing algorithms for computing the geometric moments are applied to improve the computational efficiency in the calculation of the Legendre moments. ...
doi:10.1006/gmod.2000.0523
fatcat:vquvq5ehujc6dhlyc4qgg4fc6e
Moment Features Weighting for Image Retrieval
2016
IOSR Journal of Computer Engineering
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Weighting algorithms are important group of feature selection schemes. ...
The performance of the algorithm is compared with well-known ReliefF feature weighting and selection algorithm. ...
One of the important weighting algorithms is Relief [8] , which was devised for two class problems. ...
doi:10.9790/0661-1805043237
fatcat:z3bprmstyfewnmd3v3qr476b24
New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments
2013
Mathematical Problems in Engineering
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An algorithm based on matrix multiplication is also provided to efficiently compute the 3D moments and invariants. ...
According to the properties of Tchebichef polynomials, we propose a new approach to construct scale invariants of Tchebichef moments. ...
To reduce the computation time, we have proposed an efficient algorithm based on matrix multiplication for computing both 3D moments and 3D invariants. ...
doi:10.1155/2013/813606
fatcat:5pajoft26zh33clekbyl3eeoeq
Comparative Study of Exact Continuous Orthogonal Moments Applications : Local Feature Extraction and Data Compression
2017
Transactions on Machine Learning and Artificial Intelligence
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This paper present an improved reconstruction algorithm of the multigray level images based on overlapping block method using exact continuous moments computation: Legendre , Zernike, Pseudo Zernike and ...
This method aim to ensure high accuracy and low computation time, using only small finite number of moments. ...
Conclusion In this paper, a novel and faster algorithm for the computation of exact continuous moments: Legendre, Zernike, PseudoZernike and Gegenbauer, have been presented. ...
doi:10.14738/tmlai.54.3226
fatcat:66hrizmqwbfrnfqshwpfjprt7u
Lapped Block Image Analysis via the Method of Legendre Moments
2003
EURASIP Journal on Advances in Signal Processing
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Research investigating the use of Legendre moments for pattern recognition has been performed in recent years. This field of research remains quite open. ...
The main motivation of the proposed approaches is to allow fast and efficient reconstruction algorithm, with improvement of the reconstructed images quality. ...
In this study, the error analysis and characterization of Legendre moments descriptors have been investigated, where several new techniques to increase the accuracy and the efficiency of the moments are ...
doi:10.1155/s1110865703305062
fatcat:wdggpvlt5jfapcnoc7kkhvpcji
A New Computational Model of High-Order Stochastic Simulation Based on Spatial Legendre Moments
2018
Mathematical Geosciences
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Legendre moments. ...
With this computational model, the algorithm for the estimation of the cpdf is developed in such a way that the conditional cumulative distribution function (ccdf) can be computed conveniently through ...
Computational Complexity The most computationally demanding part of the high-order simulation algorithm is to calculate the Legendre series coefficients, which is the basis for estimating the cpdfs. ...
doi:10.1007/s11004-018-9744-z
pmid:30931019
pmcid:PMC6404987
fatcat:4jiknlh4wrb4nit6cyrls2ivqy
Application of a hybrid orthogonal function system on trademark image retrieval
2014
Journal of Advanced Mechanical Design, Systems, and Manufacturing
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However computation of Tchebichef moments is time consuming, especially for higher order moments. ...
The W-moments have two main advantages, one is computationally simple due to the piecewise linear structure of the basis functions, and the other is the reproducibility, namely shapes and even shape groups ...
Table 1 presents the retrieval efficiency of ZM, LM and W-moments (WM) with different maximum order of moments, and it shows that number of order up to 14 gives the highest retrieval efficiency for WM ...
doi:10.1299/jamdsm.2014jamdsm0077
fatcat:mfupg6ujozdklcxlps4ft3ranq
Biological visual attention guided automatic image segmentation with application in satellite imaging
2012
Human Vision and Electronic Imaging XVII
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It then proposes a novel algorithm for automatic image segmentation and regions of interest search that combines elements of human visual attention with Legendre moments applied on the probability density ...
of the performance of computational image processing systems. ...
For this task a sliding window of a particular size is considered and for each position of the window the Legendre moments of the PDF of color histograms of that window are computed. ...
doi:10.1117/12.911996
dblp:conf/hvei/SinaCP12
fatcat:7xyto2nfrne6jc7cbajlwhoieu
Evolving Neural Networks Using Moment Method For Handwritten Digit Recognition
2007
Zenodo
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In the preprocessing phase, a new feature extraction method is proposed based on Legendre moments with the Maximum entropy principle MEP as a selection criterion. ...
global convergence of the algorithm. ...
two parents to form new offsprings. ...
doi:10.5281/zenodo.1082058
fatcat:mmvfwaq25fdqrdauf4cgo4scrq
New Treatment of Strongly Anisotropic Scattering Phase Functions: The Delta-M+ Method
2018
Journal of the Atmospheric Sciences
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The new Delta-M+ method resolves this problem by introducing a reliable, fast, accurate, and easy-to-use Legendre expansion of the scattering phase function with modified moments. ...
Compared with the original Delta-M method, Delta-M+ has the same computational efficiency, but for radiance computations the accuracy and stability have been increased dramatically. ...
of the Legendre moments, the d-M1 algorithm is mathematically elegant, accurate, reliable, and computationally fast. ...
doi:10.1175/jas-d-17-0233.1
pmid:33867576
pmcid:PMC8051203
fatcat:g65ctzk2bfd2tbosfzhhumj5my
Fast and accurate computation of orthogonal moments for texture analysis
[article]
2018
arXiv
pre-print
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In this work we describe a fast and stable algorithm for the computation of the orthogonal moments of an image. ...
In order to assess and compare the accuracy of the computed moments in texture analysis, we perform classification experiments on six well-known databases of texture images. ...
Algorithm 3 M =legmoms(F ,q) computation of Legendre moments Require: F ∈ R M ×N grayscale digital image, q order of the moments to be computed Ensure: M ∈ R (q+1)×(q+1) matrix of Legendre moments 1: if ...
arXiv:1803.00638v2
fatcat:ibfmtwbcx5evjlcohnjre2ssim
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